

MCQOPTIONS
This section includes 151 Mcqs, each offering curated multiple-choice questions to sharpen your Maths knowledge and support exam preparation. Choose a topic below to get started.
101. |
If an equilateral triangle is inscribed in a circle of area 48 square units, then the perimeter of the triangle is: |
A. | 72 units |
B. | 36 units |
C. | 48 units |
D. | $${48}{ sqrt{3}}$$ units |
Answer» C. 48 units | |
102. |
Find the area of a white sheet required to prepare a cone with a height of 21cm and the radius of 20cm. |
A. | $$ {3080}cm^2$$ |
B. | $$ {2300}cm^2$$ |
C. | $$ {3460}cm^2$$ |
D. | $$ {3600}cm^2$$ |
Answer» B. $$ {2300}cm^2$$ | |
103. |
A solid metallic cylinder of base radius 5 cm and height 7 cm is melted to form cones, each of height 1 cm and base radius 1 mm. Find the number of cones? |
A. | 53500 |
B. | 49500 |
C. | 51500 |
D. | 52500 |
Answer» E. | |
104. |
One side of the rectangular ground is 8m and its diagonal is 17m. Find the area of the ground? |
A. | 150 m |
B. | 140 m |
C. | 130 m |
D. | 120 m |
Answer» E. | |
105. |
A square pyramid with side 10 cm has a volume of 400 cm3. Find the total surface area of the pyramid. |
A. | 240 cm2 |
B. | 300 cm2 |
C. | 420 cm2 |
D. | 360 cm2 |
Answer» E. | |
106. |
The length of a rectangle is 6 cm more than its width and its perimeter is 100 cm. If the area of this rectangle is closest to the area of a circle, then what is the circumference of that circle? |
A. | 110 cm |
B. | 132 cm |
C. | 66 cm |
D. | 88 cm |
Answer» E. | |
107. |
The height of a square base right prism is 15 cm. If the total surface area of the prism is 608 cm2 , then what will be the volume of prism? |
A. | 950 cm3 |
B. | 970 cm3 |
C. | 960 cm3 |
D. | 940 cm3 |
Answer» D. 940 cm3 | |
108. |
The area of a circle is 616 sq cm, nd its circumference? |
A. | 44 cm |
B. | 88 cm |
C. | 22 cm |
D. | 176 cm |
Answer» C. 22 cm | |
109. |
The length of a hollow thick cylindrical metallic pipe is 6 cm and its total surface area including the surface at the ends is 98 sq. cm. If the outer diameter is 8 cm, then the inner diameter in cm is |
A. | 6.5 |
B. | 7 |
C. | 5 |
D. | 6 |
Answer» E. | |
110. |
An open box is made of wood 3 cm thick. Its external dimensions are 1.36 m, 1.06 m and 8.3 dm. The cost of painting the inner surface of the box at 50 paise per 100 sq. cm (in Rs.) is |
A. | 232 |
B. | 246 |
C. | 249 |
D. | 256 |
Answer» D. 256 | |
111. |
A spherical ball of lead 3 cm in diameter is melted and recast into three spherical balls The diameter of two of these are 1.5 cm and 2 cm respectively. The diameter of the third ball is |
A. | 1.4 cm |
B. | 1.8 cm |
C. | 2.1 cm |
D. | 2.5 cm |
Answer» E. | |
112. |
The total surface area of a hemisphere is 166.32 sq cm, nd its radius? |
A. | 4.2 cm |
B. | 8.4 cm |
C. | 1.4 cm |
D. | 2.1 cm |
Answer» B. 8.4 cm | |
113. |
A solid sphere of diameter 17.5 cm is cut into two equal halves. What will be the increase (in cm2) in the total surface area? |
A. | 289 |
B. | 616 |
C. | 962.56 |
D. | 481.056 |
Answer» E. | |
114. |
The total Surface area of a solid hemisphere is 1039.5 cm2. The volume ( in cm3) of the hemisphere is: (Take =22/7) |
A. | 2425.5 |
B. | 2530.6 |
C. | 2525.6 |
D. | 2225.5 |
Answer» B. 2530.6 | |
115. |
From a solid cylinder whose height is 12 cm and diameter 10 cm a conical cavity of same height and same diameter of the base is hollowed out. The volume of the remaining solid is (cm3)approximately . =22/7 |
A. | 942.86 |
B. | 477.45 |
C. | 628.57 |
D. | 450.76 |
Answer» D. 450.76 | |
116. |
A right circular cylinder is formed by rolling a rectangular sheet of metal of length 44 cm and breath 20 cm along its length. The volume of cylinder is_ |
A. | 3080 |
B. | 4090 |
C. | 4095 |
D. | 5000 |
Answer» B. 4090 | |
117. |
The covered surface area of a cone of radius 8 cm and height 6 cm is double the covered surface area of a cylinder of radius 4 cm. Find the height of the cylinder? |
A. | 5 cm |
B. | 8 cm |
C. | 10 cm |
D. | 12 cm |
Answer» B. 8 cm | |
118. |
Sides of a triangle are 13 cm, 84 cm and 85 cm. Find its area(in square cm)? |
A. | 546 |
B. | 550 |
C. | 555 |
D. | 558 |
Answer» B. 550 | |
119. |
The ratio of curved surface area and volume of a cylinder is 1 : 7. The ratio of total surface area and volume is 187 : 770. What is the respective ratio of its base radius and height? |
A. | 7:15 |
B. | 8:7 |
C. | 7:10 |
D. | 7:12 |
Answer» D. 7:12 | |
120. |
A circle and a rectangle have the same perimeter. The sides of rectangle are 18 cm and 26 cm then find out the area of circle? |
A. | $$ {230cm^2}$$ |
B. | $$ {320cm^2}$$ |
C. | $$ {616cm^2}$$ |
D. | $$ {154cm^2}$$ |
Answer» D. $$ {154cm^2}$$ | |
121. |
The base of a right circular cone has the same radius a as that of a sphere. Both the sphere and the Cone have the same volume. Height of the cone is: |
A. | 3a |
B. | $$ {7 over4}a$$ |
C. | $$ {7 over3}a$$ |
D. | 4a |
Answer» E. | |
122. |
A solid metallic sphere of radius x cm is melted and then drawn into 126 cones each of radius 3.5 cm and height 3 cm. There is no wastage of material in this process. What is the value of x? |
A. | 10.5 |
B. | 3.5 |
C. | 7 |
D. | 21 |
Answer» B. 3.5 | |
123. |
A circular park whose diameter is 210 m has a 5 m wide path running around it(on the outside). What is the area ( in m2) of the path? |
A. | 1020 |
B. | 1075 |
C. | 1050 |
D. | 1100 |
Answer» C. 1050 | |
124. |
A semicircle is folded to make a cone. Find the height (in cm) of the cone if diameter of the semicircle is 28 cm? |
A. | $$ {7 sqrt{3}}$$ |
B. | $$ {14 sqrt{3}}$$ |
C. | $$ {7 sqrt{5}}$$ |
D. | $$ {7 sqrt{13}}$$ |
Answer» B. $$ {14 sqrt{3}}$$ | |
125. |
What is the area of the largest triangle that can be fitted into a rectangle of length 'l' units and width 'w' units? |
A. | $$ {lw over3}$$ |
B. | $$ {2lw over3}$$ |
C. | $$ {3lw over3}$$ |
D. | $$ {lw over2}$$ |
Answer» E. | |
126. |
50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is $$ {4 m^{3}}$$ , then the rise in the water level in the tank will be: |
A. | 20 cm |
B. | 50 cm |
C. | 35 cm |
D. | 25 cm |
Answer» E. | |
127. |
The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height. |
A. | 3 : 7 |
B. | 7 : 3 |
C. | 6 : 7 |
D. | 7 : 6 |
Answer» C. 6 : 7 | |
128. |
The ratio between the length and breadth of a rectangular park is 3: 2. If a man cycling along the boundary of the park at the speed of 12 Km./hr. completes one round in 8 min, then the area of the park in sq.m is |
A. | 15360 |
B. | 30720 |
C. | 153600 |
D. | 307200 |
Answer» D. 307200 | |
129. |
There is a circular garden of radius 21 metres. A path of width 3.5 metres is constructed just outside the garden. What is the area (in metres) of the path? |
A. | 500.50 |
B. | 575.60 |
C. | 521.20 |
D. | 560.70 |
Answer» B. 575.60 | |
130. |
What is the area ( in cm2 ) of the circumcircle of a triangle whose sides are 6 cm , 8 cm and 10 cm respectively ? |
A. | $$ {275 over 7}$$ |
B. | $$ {2200 over 7}$$ |
C. | $$ {550 over 7}$$ |
D. | $$ {1100 over 7}$$ |
Answer» D. $$ {1100 over 7}$$ | |
131. |
Smallest side of a right angled triangle is 13 cm less than the side of a square of perimeter 72 cm. Second largest side of the right angled triangle is 2 cm less than the length of the rectangle of area 112 cm and breadth 8 cm. What is the largest side of the right angled triangle? |
A. | 20 cm |
B. | 12 cm |
C. | 10 cm |
D. | 13 cm |
E. | None of these |
Answer» E. None of these | |
132. |
A rectangular ground 16m long and 10m breadth. It has a gravel path 2.5m wide all around it on the outside. What is the area of the path? |
A. | 159 m |
B. | 155 m |
C. | 187 m |
D. | 183 m |
E. | None of the Above |
Answer» C. 187 m | |
133. |
The radii of three concentric circles are in the ratio of 4 : 5 : 7. What is the ratio of the area between the two inner circles to that between the two outer circles? |
A. | 4 : 7 |
B. | 3 : 8 |
C. | 4 : 5 |
D. | 5 : 9 |
Answer» C. 4 : 5 | |
134. |
The diagonal of a square is equal to the side of an equilateral triangle. If the area of the square is $$ {18 sqrt{3}}$$ sq.cm. What is the area (in cm2) of the equilateral triangle ? |
A. | $$ {54 sqrt{2}}$$ |
B. | $$ {27 sqrt{2}}$$ |
C. | 54 |
D. | 27 |
Answer» E. | |
135. |
The diagonal of a square is 14 cm. What will be the length of the diagonal of the square whose area is double of the area of first square? |
A. | $$ {28 sqrt{2}{ cm}}$$ |
B. | $$ {14 sqrt{2}{ cm}}$$ |
C. | 28 |
D. | $$ {21 sqrt{2}{ cm}}$$ |
Answer» C. 28 | |
136. |
What will be the area (cm2) of the curved surface of an elliptical cylinder whose height and diameter are 10 cm and 8 cm respectively? |
A. | 20 |
B. | 80 |
C. | 160 |
D. | 40 |
Answer» C. 160 | |
137. |
The area of trapezium is 21 square cm, the distance between the parallel sides is 3 cm and one of the parallel sides is 8.3 cm. What is the length of the other parallel side ? |
A. | 12.7 cm |
B. | 7.7 cm |
C. | 10.7 cm |
D. | 5.7 cm |
Answer» E. | |
138. |
The volume of a sphere and an elliptical cylinder are the same. The radius of the sphere and cylinder are 21 cm and 14 cm respectively. What is the height of the cylinder? |
A. | 63 cm |
B. | 56 cm |
C. | 42 cm |
D. | 49 cm |
Answer» B. 56 cm | |
139. |
What is the volume of a cube whose side is 7.5 cm? |
A. | 421.875 cm3 |
B. | 759.375 cm3 |
C. | 631.81 cm3 |
D. | 210.94 cm3 |
Answer» B. 759.375 cm3 | |
140. |
PQRS is a parallelogram, Angle SPQ=60 Degree, QR=40 cm and PQ=10 cm, then find the area of the parallelogram. |
A. | 100 3 sq.cm |
B. | 200 3 sq.cm |
C. | 100 sq.cm |
D. | 500 sq.cm |
Answer» C. 100 sq.cm | |
141. |
The cost of fencing a circular plot at the rate of Rs.15 per meters Rs. 3,300. What will be the cost of flooring the plot at the rate a Rs . 100 per square meter? |
A. | Rs. 3,85,000 |
B. | Rs. 2,20,000 |
C. | Rs. 3,50,000 |
D. | Cannot be determined |
E. | None of these |
Answer» B. Rs. 2,20,000 | |
142. |
What is total surface area of a cone where, r is radius and l is slant height? |
A. | r (l + r) |
B. | 2 r (l+r) |
C. | rl |
D. | $$ 2 rl^2$$ |
Answer» B. 2 r (l+r) | |
143. |
What is the total CSA of cone whose radius is 3 cm and height is 4 cm? |
A. | $$ { 24 cm^2}$$ |
B. | $$ { 25 cm^2}$$ |
C. | $$ { 28 cm^2}$$ |
D. | $$ { 20 cm^2}$$ |
E. | None of these |
Answer» B. $$ { 25 cm^2}$$ | |
144. |
If each edge of a cube is reduced by 25 percent, find the ratio of the volume of the original cube and the resulting cube? |
A. | 8:1 |
B. | 27:64 |
C. | 64:1 |
D. | 64:27 |
Answer» D. 64:27 | |
145. |
A right triangle with sides 5 cm, 12 cm and 13 cm is rotated about the side 12 cm to from a cone. The volume of the cone so formed is : |
A. | $$ {81 cm^{3}}$$ |
B. | $$ {100 cm^{3}}$$ |
C. | $$ {91 cm^{3}}$$ |
D. | $$ {110 cm^{3}}$$ |
Answer» C. $$ {91 cm^{3}}$$ | |
146. |
A square and an equilateral triangle are of the same perimeter. If the diagonal of the square is $$ {12 sqrt{2}}$$ cm long, then the area of the triangle is. |
A. | $$ {32 sqrt{3}}$$ |
B. | $$ {64 sqrt{3}}$$ |
C. | $$ {64 sqrt{2}}$$ |
D. | $$ {48 sqrt{3}}$$ |
Answer» C. $$ {64 sqrt{2}}$$ | |
147. |
The difference of the circumference and radius of a circle is 37 cm. Area of the circle is |
A. | 150 sq.cm |
B. | 84 sq.cm |
C. | 77 sq.cm |
D. | 154 sq.cm |
Answer» E. | |
148. |
The diameter of a wheel is 14 cm. How many rotations will it take to cover a distance of 44 kilometres? |
A. | 44,000 |
B. | 88,000 |
C. | 70,000 |
D. | 100000 |
Answer» E. | |
149. |
A wire of length 60 m is used to enclose a field which is in the shape of a right - angled triangle. The area of the field is 150 m2 then, the largest side of the field has a length of: |
A. | 30 meter |
B. | 20 meter |
C. | 25 meter |
D. | 15 meter |
Answer» D. 15 meter | |
150. |
Sum of volume of cylinder (S) and volume off cone (C) is 2190 cm & height of both cylinder and cone is same i.e, 10 cm. If radius of cone is 15 cm then find the ratio of radius of S to radius of C? |
A. | 1 : 2 |
B. | 3 : 4 |
C. | 2 : 5 |
D. | 4 : 5 |
E. | 3 : 5 |
Answer» E. 3 : 5 | |